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comfusy-examples [2009/11/25 19:39]
philippe.suter
comfusy-examples [2010/01/17 11:38]
philippe.suter
Line 1: Line 1:
 ====== COMFUSY: COMplete FUnctional SYnthesis - Examples ====== ====== COMFUSY: COMplete FUnctional SYnthesis - Examples ======
- 
-  * ''​FastExponentiation''​ 
- 
-++++click to reveal the code| 
-<code scala> 
-import synthesis.Definitions._ 
- 
-object FastExponentiation { 
-  def pow(base: Int, p: Int) = { 
-    def fp(m : Int, b : Int, i : Int) : Int = i match { 
-      case 0         => m 
-      case 2 * j     => fp(m, b*b, j) 
-      case 2 * j + 1 => fp(m*b, b*b, j) 
-    } 
-    fp(1, base, p) 
-  } 
- 
-  def main(args : Array[String]) : Unit = { 
-    println("​Base ?") 
-    val bse = Console.readInt 
-    println("​Exponent ?") 
-    val exp = Console.readInt 
-    println(bse + "​^"​ + exp + " = " + pow(bse,​exp)) 
-  } 
-} 
-</​code>​ 
-++++ 
- 
-  * ''​PrimeHeuristic''​ 
- 
-++++click to reveal the code| 
-<code scala> 
-import synthesis.Definitions._ 
- 
-object PrimeHeuristic { 
-  def maybePrime(n:​ Int): Boolean = n match { 
-    case 2 * k     => false 
-    case 3 * k     => false 
-    case 6 * k - 1 => true 
-    case 6 * k + 1 => true 
-  } 
- 
-  def main(args : Array[String]) : Unit = { 
-    println("​Number !") 
-    val x = Console.readInt 
- 
-    println("​Any chance that " + x + " is prime ? " + maybePrime(x)) 
-  } 
-} 
-</​code>​ 
-++++ 
  
   * ''​ScaleWeights''​   * ''​ScaleWeights''​
Line 171: Line 120:
     println(setB)     println(setB)
   }   }
 +}
 +</​code>​
 +++++
 +
 +  * ''​FastExponentiation''​
 +
 +++++click to reveal the code|
 +<code scala>
 +import synthesis.Definitions._
 +
 +object FastExponentiation {
 +  def pow(base: Int, p: Int) = {
 +    def fp(m : Int, b : Int, i : Int) : Int = i match {
 +      case 0         => m
 +      case 2 * j     => fp(m, b*b, j)
 +      case 2 * j + 1 => fp(m*b, b*b, j)
 +    }
 +    fp(1, base, p)
 +  }
 +
 +  def main(args : Array[String]) : Unit = {
 +    println("​Base ?")
 +    val bse = Console.readInt
 +    println("​Exponent ?")
 +    val exp = Console.readInt
 +    println(bse + "​^"​ + exp + " = " + pow(bse,​exp))
 +  }
 +}
 +</​code>​
 +++++
 +
 +  * ''​PrimeHeuristic''​
 +
 +++++click to reveal the code|
 +<code scala>
 +import synthesis.Definitions._
 +
 +object PrimeHeuristic {
 +  def maybePrime(n:​ Int): Boolean = n match {
 +    case 2 * k     => false
 +    case 3 * k     => false
 +    case 6 * k - 1 => true
 +    case 6 * k + 1 => true
 +  }
 +
 +  def main(args : Array[String]) : Unit = {
 +    println("​Number !")
 +    val x = Console.readInt
 +
 +    println("​Any chance that " + x + " is prime ? " + maybePrime(x))
 +  }
 +}
 +</​code>​
 +++++
 +
 +  * ''​NewYearSong''​ (similar code with fewer variables was used to compute the distribution of names in [[http://​www.youtube.com/​watch?​v=E2aPFdu0FNA|this song]])
 +
 +++++click to reveal the code|
 +
 +<code scala>
 +import synthesis.Definitions._
 +object NewYearSong {
 +    def main(args : Array[String]) : Unit = {
 +        println("​eLines (6) ?")
 +        val eLines: Int = Console.readInt
 +        println("​iLines (2) ?")
 +        val iLines: Int = Console.readInt
 +        println("​iSyls (5) ?")
 +        val iSyls: Int  = Console.readInt
 +        println("​nSyls (952) ?")
 +        val nSyls: Int = Console.readInt
 +
 +        val (line7, line8, nsLines, nLines, tLines, _) =
 +            choose((line7:​ Int, line8: Int, nsLines: Int, nLines: Int, tLines: Int, tLinesFact: Int) => (
 +                   ​tLines == eLines + nLines
 +                && nLines == iLines + nsLines
 +                && nLines == line7 + line8
 +                && nSyls + iSyls == 7 * line7 + 8 * line8
 +                && tLines == 4 * tLinesFact // expresses (4 | tLines)
 +                && line8 >= 0
 +                && line7 >= 0
 +                && tLines >= 0
 +            ))
 +
 +        println("​line7 : " + line7)
 +        println("​line8 : " + line8)
 +        println("​nsLines : " + nsLines)
 +        println("​nLines : " + nLines)
 +        println("​tLines : " + tLines)
 +    }
 } }
 </​code>​ </​code>​
 ++++ ++++